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Proof step 41 from proof replay-cons-add-orphan (previous step)

log-cons(log, fs), replay-safe(log, fs, fi ⊖ fo) ⊦ key ∈ ri ⊖ (ro ++ inodekey(ino)) ↔ key ∈ ri ∧ key ≠ inodekey(ino) ∧ (key.data? → key.ino ≠ ino) ∧ ¬ key ∈ ro ∧ (key.data? → ¬ inodekey(key.ino) ∈ ro)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-base name: in-dels-ro seq: ⊦ key ∈ ri ⊖ ks ↔ key ∈ ri ∧ ¬ key ∈ ks ∧ (key.data? → ¬ inodekey(key.ino) ∈ ks) subst: [ks, ri, key] → [ro ++ inodekey(ino), ri, key] flags: <all paths>

Additional information

Used terms: ro ++ inodekey(ino), ri, key